Which kind of function best models the data in the table? Use differences or ratios.
x y
0 1.3
1 7.8
2 46.8
3 280.8
4 1684.8
a. linear
b. quadratic **
c. exponential
d. none of the above
could someone check my answer please
I gave you a link to show that geometric converges to exponential
With calculus itis easy
the solution to dy/dx = k x
is of the form y =c e*kx
It is NOT quadratic
Hey, I answered you twice, go back and check
I saw that, thank you. I think it is either quadratic or exponential but I dont know which one
Exponential. Thanks!!!!
well, in the limit yes
Is the following sequence of numbers, linear, quadratic or neither? Explain your reasoning.
8, 5, 0, -7, -16, -27...
To determine which kind of function best models the data in the table, we can analyze the differences or ratios between consecutive values of 'x' and 'y'.
Let's calculate the differences and the ratios:
Differences of y:
1.3 - 7.8 = -6.5
7.8 - 46.8 = -39
46.8 - 280.8 = -234
280.8 - 1684.8 = -1404
Ratios of y:
7.8 / 1.3 = 6
46.8 / 7.8 = 6
280.8 / 46.8 = 6
1684.8 / 280.8 = 6
By analyzing both the differences and the ratios, we observe a constant value of -6.5 and 6, respectively. This indicates that the relationship between the variables 'x' and 'y' is not linear. Additionally, the constant ratio suggests that the relationship is not exponential.
Since the difference and ratio remain constant, a quadratic function best models the data in the table. Therefore, the correct answer is option b. quadratic.